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High humidity accounts for the discomfort. Take a wet bulb reading, when the wet bulb is above the mid 70's, it's gonna feel real muggy. There's an index somehere that list what a temperature "feels like at such n such humidity. I think it's called a heat index .

They know how it "feels" because they know how much heat a human body will lose through the evaporation of sweat at dry conditions and how much of that heat stays with the body when it's humid. The amount of heat that should be lost because we sweat but isn't lost is the same amount we'd have if it was actually hotter.

Some thermodynamicist in a lab adds up the numbers and the rest of us use his chart.